Find the equation of the straight line passing through (3,-2) and making an angle of 60 degree with the positive direction of y-axis

Answer 1

The slope of the line is the tan of the angle that the line makes with the x-axis
so if the line makes and angle of 60° with the y-axis , it will make an angle of 30° with the x-axis
so we have tan30° = 1/√3

equation:
y + 2 = (1/√3)(x-3)
√3y + 2√3 = x - 3

x - √3y = 2√3 + 3

change to whatever form of the equation that is needed.